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270105444 = 223272198059
BaseRepresentation
bin10000000110010…
…111101101100100
3200211020210000100
4100012113231210
51023121333234
642445144100
76456600300
oct2006275544
9624223010
10270105444
11129516244
127655b030
1343c61b0b
1427c30d00
1518aa6399
hex10197b64

270105444 has 108 divisors (see below), whose sum is σ = 836144400. Its totient is φ = 73102176.

The previous prime is 270105413. The next prime is 270105457. The reversal of 270105444 is 444501072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29487 + ... + 37545.

Almost surely, 2270105444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270105444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418072200).

270105444 is an abundant number, since it is smaller than the sum of its proper divisors (566038956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

270105444 is a wasteful number, since it uses less digits than its factorization.

270105444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 270105444 is about 16434.8849706957. The cubic root of 270105444 is about 646.4145339152.

The spelling of 270105444 in words is "two hundred seventy million, one hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8059 8379 11172 16118 16758 24177 32236 33516 48354 56413 72531 96708 112826 145062 153121 169239 225652 290124 306242 338478 394891 459363 507717 612484 676956 789782 918726 1015434 1071847 1184673 1378089 1579564 1837452 2030868 2143694 2369346 2756178 3215541 3554019 4287388 4738692 5512356 6431082 7108038 7502929 9646623 12862164 14216076 15005858 19293246 22508787 30011716 38586492 45017574 67526361 90035148 135052722 270105444